Math, asked by barikaru5362, 1 year ago

Oapb is a sector of circle of radius 3.5cm with centre o and oab 120° find the length of oapbo

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Answered by ivanhaj
1

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Answered by VelvetBlush
5

Length of the arc APB,

=  \sf{\frac{360 - 120}{360}  \times 2\pi \: r}

= \sf{\frac{240}{360}  \times 2 \times  \frac{22}{7}  \times 3.5cm}

= \sf{\frac{44}{3} cm}

Hence, the length of OAPBO

= \sf{OA+OB+arc\:APB}

= \sf{(3.5 + 3.5 +  \frac{44}{3} )cm}

= \sf{(7 +  \frac{44}{3} )cm}

= {\boxed{\sf{\frac{65}{3} cm}}}

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